Question

find the coordinate of point j that is 1/4 of the distance from s to p.
p q r s t u
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Explanation:

Step1: Identify coordinates of P and S

The coordinate of P is - 5 and the coordinate of S is 5.

Step2: Calculate the distance between P and S

The distance $d=|5 - (-5)|=|5 + 5| = 10$.

Step3: Find the distance from S to J

The distance from S to J is $\frac{1}{4}$ of the distance from S to P. So $d_{SJ}=\frac{1}{4}\times10 = 2.5$.

Step4: Calculate the coordinate of J

Since we are moving from S towards P (left - hand side on the number line), the coordinate of J is $5-2.5 = 2.5$.

Answer:

$2.5$